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12317760 = 2632571347
BaseRepresentation
bin101110111111…
…010001000000
3212011210210100
4232333101000
511123132020
61120002400
7206461560
oct56772100
925153710
1012317760
116a53574
124160400
132723820
1418c8da0
151134a90
hexbbf440

12317760 has 336 divisors, whose sum is σ = 53254656. Its totient is φ = 2543616.

The previous prime is 12317743. The next prime is 12317771. The reversal of 12317760 is 6771321.

12317760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×123177602 = 303454422835200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262057 + ... + 262103.

It is an arithmetic number, because the mean of its divisors is an integer number (158496).

Almost surely, 212317760 is an apocalyptic number.

12317760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

12317760 is an abundant number, since it is smaller than the sum of its proper divisors (40936896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12317760 is a wasteful number, since it uses less digits than its factorization.

12317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 12317760 is about 3509.6666508374. Note that the first 4 decimals coincide. The cubic root of 12317760 is about 230.9460716299.

The spelling of 12317760 in words is "twelve million, three hundred seventeen thousand, seven hundred sixty".